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tory Bookmarks Window Help WorldWideTestbank Viewer om/wwtb/api/viewer.pl iCloud Facebook Twitter Wikipedia News Popular https:/ /my.hrw.com/dashboard/home WorldWideTestbank Viewer 11 12 13 QuestionExample Step by Step The probability of getting heads on a single coin flip is J. The probability of getting nothing but heads on a series of coin flips decreases by for each additional coin flip. Enter an exponential function for the probability p(n) of getting all heads in a series of n coin flips. Give your answer in the form a(b)n. In the event that a -1, give your answer in the form (b) The equation is p (n).- Check Answer Question 12 of 14

Explanation / Answer

P (first head) = 1/2

P(second head) = (1/2)^2

P(head on nth flip) = (1/2)^n

P(head on all n flips) = 1/2 * (1/2)^2 *......*(1/2)^n = (1/2)^(1+2+3+...+n)

= (1/2)^(n(n+1)/2)

Thus, P(n) = (1/2)^{n(n+1)/2}

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